If the sending unit wire is disconnected or has very poor continuity (added resistance) the fuel gauge will read full or past full. If the fuel sending unit wire is grounded the gauge will read empty or below.
Was the new sending unit checked for proper operation before it was installed ?. I've been caught this way with problems by not checking things and assuming things are good even when the part is new and they weren't.
What you need to do now for the least amount of work is to find the sending unit wire in the trunk and disconnect it. One side of the connector will pass through a grommet in the floor and go towards the gas tank. The other half of the disconnected connector will go into the taillight wiring and up to the dash. This side of the connector needs to be worked on first.
Turn the ignition to the run position and with a jumper wire connect the one end to a good ground and the other end to the connector that goes forward to the gauge. The gauge should swing to empty or below. Now disconnect this jumper wire and the gauge should fo to full or above. If so the gauge is working. If you have access to resistors, connect one side of a 45 ohm resistor to the sending unit wire towards the gauge and the other side of the resistor to ground. The gauge should then read 1/2 tank. If you swap the resistor for a 22.5 ohm then the gauge should read 1/4 tank and if replaced with a 67.5 it should read 3/4 tank. If a 90 ohm is inserted it should read a full tank.
If the gauge reads right in the above tests then look at the ground wire connection off of the tank to the body of the car. If it looks bad where the wire is crimped onto the connector, cut the connector off, crimp on a new ring terminal end, solder it, and reattach it to the car and see if the gauge reads right. If not then the tank has to be dropped for further troubleshooting.
If the tank is dropped, remove the sender and rig it up under the car to where when the float is hanging fully down the gauge should read empty and is the float arm is pushed upward the gauge should read higher and when the float arm is all the way up the gauge should read full.
Here are some shots of some bad spots on a sender I worked on:
http://hometown.aol.com/krystaldesigns/pageA14.html
Jim